notebooks/cplx/digest.md

@@ -2,7 +2,7 @@
 
 > `v1.fit_sequence`
 
-Version 1 smart fitter in IIRrational library. Uses SVD method with high order over fitting, then switches to nonlinear fits with heuristics to remove poles and zeros down to a reasonable system order.
+Version 1 smart fitter in iirrational library. Uses SVD method with high order over-fitting, then switches to nonlinear fits with heuristics to remove poles and zeros down to a reasonable system order.
 
 ## `1` initial
 
@@ -34,21 +34,21 @@ Performs the SVD for a rough initial guess
 
 > `if`
 
-Chose the Poles SVD fitter as it had the smaller residual of 4.87e+02 vs. 2.35e+03 for the zeros
+Chose the Poles SVD fitter as it had the smaller residual of 8.74e+03 vs. 1.08e+04 for the zeros
 
 ### `1.5` seq_iter_3
 
-> `IIRrational.fit_poles, IIRrational.fit_zeros`
+> `RationalDiscFilter.fit_poles, RationalDiscFilter.fit_zeros`
 
-First iterations, enforcing stabilized poles residual of 1.91e+02
+First iterations, enforcing stabilized poles residual of 1.21e+03
 
 ![](plot-1-5.png)
 
 ### `1.6` seq_iter_4
 
-> `IIRrational.fit_poles, IIRrational.fit_zeros`
+> `RationalDiscFilter.fit_poles, RationalDiscFilter.fit_zeros`
 
-First iterations, enforcing stabilized poles residual of 1.89e+02
+First iterations, enforcing stabilized poles residual of 1.07e+03
 
 ![](plot-1-6.png)
 
@@ -65,21 +65,20 @@ it requires gratuitous overfitting to reliably get good fits.
 
 ![](plot-1-7.png)
 
-## `2` optimize nonlinear
+## `2` nonlinear pre-reduce and optimize
 
 > `MultiReprFilter.optimize`
 
-ing nonlinear parameterizations,
-TODO: describe as used
+initial conservative order reduction (for speed), followed by a nonlinear optimization.
 
 ![](plot-2.png)
 
-## `3` optimize nonlinear minBW
+## `3` optimize nonlinear after bandwidth limiting
 
 > `MultiReprFilter.optimize`
 
-ing nonlinear parameterizations,
-TODO: describe as used
+ths limited in the nonlinear representation to half of the local average the frequency spacing.
+Nonlinear optimization then applied.
 
 ![](plot-3.png)
 
@@ -93,20 +92,22 @@ ID Pairs for order reduction
 
 ![](plot-4-1.png)
 
-### `4.2` duals_ID_2
+## `5` remove_negroots
 
-> `MultiReprFilter.optimize`
+## `6` remove_weakroots
 
-ID Pairs for order reduction
+## `7` remove_negroots
+
+## `8` remove_negroots
 
-![](plot-4-2.png)
+## `9` flip mindelay
 
-## `5` final
+## `10` final
 
 > `MultiReprFilter.optimize`
 
 ing nonlinear parameterizations,
 TODO: describe as used
 
-![](plot-5.png)
+![](plot-10.png)